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Finding the Fourth Proportional to 52,174.96, 78,193.21 and 28,421.57

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Solution

The fourth proportional to 52,174.96, 78,193.21 and 28,421.57 is: 42,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,174.96 : 78,193.21 = 28,421.57 : x
  2. Step 2: Convert to fraction form
    52,174.96/78,193.21 = 28,421.57/x
  3. Step 3: Cross multiply
    52,174.96x = 78,193.21 × 28,421.57
  4. Step 4: Simplify right side
    52,174.96x = 2,222,373,791.54
  5. Step 5: Solve for x
    x = 2,222,373,791.54/52,174.96
  6. Step 6: Final answer
    x = 42,594.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.